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Published online by Cambridge University Press: 20 January 2009
My object in the following notes is to call attention to some points in integration by successive reduction which may be of use in directing the choice of the particular form for the reduced integral in any given case. The remarks apply chiefly to the binomial differential x(α + bxn)pdx which has been discussed from a different point of view by Dr Muir in vol. iii., p. 100 of the Proceedings.